Exam 15: Algebraic Concepts 5

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Perform the indicated operations and simplify. Perform the indicated operations and simplify.

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Factor by grouping. Factor by grouping.

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The future value of a simple-interest investment of Q dollars at an annual interest rate r for s years is given by the expression . Factor this expression. The future value of a simple-interest investment of Q dollars at an annual interest rate r for s years is given by the expression . Factor this expression.

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Factor the following expression for the maximum power in a certain electrical circuit. Factor the following expression for the maximum power in a certain electrical circuit.

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Factor the expression completely. Factor the expression completely.

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Perform the indicated operations and simplify. Perform the indicated operations and simplify.

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Factor by finding the common monomial factor. Factor by finding the common monomial factor.

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A polynomial is an expression of the form , where n is a positive integer. A polynomial is an expression of the form , where n is a positive integer.   For the polynomial what is ?    For the polynomial what is ? A polynomial is an expression of the form , where n is a positive integer.   For the polynomial what is ?    A polynomial is an expression of the form , where n is a positive integer.   For the polynomial what is ?

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Simplify by combining like terms. Simplify by combining like terms.

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Evaluate when Evaluate when      Evaluate when      Evaluate when

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Suppose that you have $9000 to invest, and you invest x dollars at 10% and the remainder at 8%. Choose the expression that represents the amount invested at 8%.

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Factor the expression completely. Factor the expression completely.

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What is the coefficient of the highest-degree term in the polynomial below? What is the coefficient of the highest-degree term in the polynomial below?

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Factor the expression as a product of binomials. Factor the expression as a product of binomials.

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Perform the indicated operations and simplify. Perform the indicated operations and simplify.

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Simplify by combining like terms. Simplify by combining like terms.

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Suppose that squares of size x are cut from four corners of an 6-by-6-inch piece of cardboard and an open-top box is formed. The volume of the box is given by . Factor this expression. Suppose that squares of size x are cut from four corners of an 6-by-6-inch piece of cardboard and an open-top box is formed. The volume of the box is given by . Factor this expression.    Suppose that squares of size x are cut from four corners of an 6-by-6-inch piece of cardboard and an open-top box is formed. The volume of the box is given by . Factor this expression.

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Perform the indicated operations and simplify. Perform the indicated operations and simplify.

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Factor the expression as a product of binomials. Factor the expression as a product of binomials.

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